Finding the Third Proportional to 412 and 795.50
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Solution
The third proportional to 412 and 795.50 is: 1,535.97
Step by Step Solution
- Step 1: Write the proportion equation
412 : 795.50 = 795.50 : x - Step 2: Convert to fraction form
412/795.50 = 795.50/x - Step 3: Cross multiply
412x = 795.50 × 795.50 - Step 4: Simplify right side
412x = 632,820.25 - Step 5: Solve for x
x = 632,820.25/412 - Step 6: Final answer
x = 1,535.97
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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.